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Finding the Fourth Proportional to 8,163.24, 12,238.36 and 3,543

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Solution

The fourth proportional to 8,163.24, 12,238.36 and 3,543 is: 5,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.24 : 12,238.36 = 3,543 : x
  2. Step 2: Convert to fraction form
    8,163.24/12,238.36 = 3,543/x
  3. Step 3: Cross multiply
    8,163.24x = 12,238.36 × 3,543
  4. Step 4: Simplify right side
    8,163.24x = 43,360,509.48
  5. Step 5: Solve for x
    x = 43,360,509.48/8,163.24
  6. Step 6: Final answer
    x = 5,311.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.